## JKCET Syllabus

JKCET Syllabus 2023: Appearing aspirants in Jammu and Kashmir Common Entrance Test can begin their preparation using JKCET Syllabus. Candidates can download JKCET entrance exam syllabus in the PDF form by tapping on the direct link that is given below.

Examination authority has made few changes in the Physics/Chemistry/Maths JKBOPEE Exam pattern and JKCET 2023 syllabus, so you are advised to go through the updated JKCET Syllabus and prepare according to the topics provided in that.

• JKCET exam syllabus for Physics
• JKCET Syllabus for Physics
• JKCET Syllabus for Chemistry
• JKCET Syllabus for Maths
• JKCET Exam Pattern
• Ways to prepare for JKCET from JKCET Syllabus
• Instructions for JKBOPEE Exam
• Last Words

Jammu and Kashmir Board of Professional Entrance Examination conducts JKCET for the candidates, who wish to get admission into regular courses. Aspirants appearing in Jammu and Kashmir Common Entrance Test must check the course wise JKCET syllabus from here.

Our hardworking team members of https://goldeneraeducation.com have provided detailed information in this concern. So must have a look on the below provided JKCET Syllabus 2023.

### JKCET Syllabus

JKCET Syllabus for PHYSICS:

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JKCET Syllabus for CHEMISTRY

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JKCET Syllabus for MATHEMATICS

 UNIT 1: SETS, RELATIONS AND FUNCTIONS Sets and their representation, finite and infinite sets, empty set subsets, subset of real numbers especially intervals, power set, universal set. Venn diagram, union and intersection of sets. Difference of sets, Compliment of a set. Ordered pairs, Cartesian product of sets, number of elements in the Cartesian product of two finite sets. Relations, Domain, co- domain and range of relation, types of relations, reflexive, symmetric, transitive and equivalence relations. Functions as special kind of relations from one set to another, domain, co-domain and range of a function. One to one, onto functions. Real valued functions of the real variable; constant, identity, polynomial, rational, modulus, signum and the greatest integer functions with their graphs. Sum, difference, product and quotients of functions. Composition of functions, inverse of a function, binary operations. UNIT 2: COMPLEX NUMBER; LINEAR INEQUATION; LINEAR PROGRAMMING Complex number: Conjugate of a complex number, modulus and amplitude (argument) of a complex number, Argand‘s plane and polar representation of complex numbers, algebraic properties of complex numbers. Fundamental theorem of algebra, solution of Quadratic equation in the complex number system. Square root of a complex number. Linear inequation: Algebraic solution of linear inequalities in one variable and two variables. Linear programming: Introduction , definition of related terminology such as constraints, objective function, optimization, different type of linear programming problem (L.P), mathematical formulation of L.P problem, graphical method of solution for problems in two variables, feasible and infeasible regions, feasible and infeasible solutions, optimal feasible solutions. UNIT 3: SEQUENCE AND SERIES, PERMUTATION AND COMBINATION & BINOMIAL THEOREM Sequence and series: Arithmetic progression (A.P), arithmetic mean (A.M), nth term, sum to n-terms of an A.P, Geometric progression (G.P) , Geometric Mean (G.M), nth term, sum to n-terms and sum to infinity of a G.P. Relation between A.M and G.M. Sum to n terms of . Permutation and combination: Fundamental principle of counting, factorial n, permutations P(n,r) and combinations C(n,r), simple applications. Binomial Theorem:. Binomial theorem for positive integral power. general and middle terms in the Binomial expansion. Pascal‘s triangle and simple applications. UNIT 4: TRIGONOMETRIC AND INVERSE TRIGONOMETRY FUNCTIONS Positive and negative angles, measuring angles in radians and in degrees, Conversion from one measure to another. Definition of trigonometric functions with the help of unit circle. Periodicity of Trigonometric functions. Basic Trigonometric identities sin2 x+cos2 x=1 for all Sign of x etc. Trigonometric functions and their graphs. Expressions for  y)± y),cot(x ± y),tan(x ±y),cos(x ±sin(x  , sum and product formulae. Identities related to Sin2x, Cos2x, tan2x, Sin3x, Cos3x, and tan3x. General and principal solutions of trigonometric equations of the type Sin x= Sin a, Cos x= Cos a , Tan x= Tan a. Inverse trigonometric functions, range, domain, principal value branches. Graphs of inverse trigonometric functions, elementary properties of inverse trigonometric functions UNIT 5: MATRICES AND DETERMINANTS Matrices, concepts, notation, order, equality, types of matrices, Zero matrix, transpose of matrix, Symmetric and skew symmetric matrices. Addition, multiplication, scaler multiplication of matrices, simple properties of addition, multiplication and scaler multiplication of matrices. Non-commutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix (order 2×2). Concept of elementary row and column operation, Invertible matrices and uniqueness of inverse, if it exists. (Matrices with real entries). Determinants of square matrix (upto 3×3 matrices) properties of determinants, minors, cofactors and applications of determinants in finding area of a triangle. Adjoint and inverse of a square matrix. Consistency, inconsistency and number of solutions of system of linear equations by examples, solving system of linear equations in two or three variables using inverse of a matrix. UNIT 6: LIMIT, CONTINUITY AND DIFFERENTIATION Concept of limit of a function. Theorems on Limits, Evaluation of limits using standard results x Sinx x 0 lim ® , x a x a n n -x a  – ® lim , Continuity of a function at a point. Continuity of Sum, product and quotient of functions. Derivative: definition of a derivative of a function, geometrical interpretation of the derivative.  Derivative of sum, difference, product and quotient of two or more functions.Ø  Derivative of algebraic and composite functions.Ø  Derivative of trigonometric and inverse trigonometric functions.Ø  Chain rule, derivative of implicit functions.Ø  Derivative of logarithmic and exponential functions.Ø  Logarithmic differentiation.Ø  Derivative of functions expressed in parametric forms.Ø Second order derivatives.  Rolle‘s and Lagrange‘s Mean Value Theorem and their geometrical interpretation and their simple applications.Ø Application of Derivative: rate of change, increasing and decreasing functions, tangents and normals, approximation, maxima and minima (first derivative and second derivative test). Simple problems. UNIT 7: INTEGRATION AND DIFFERENTIAL EQUATIONS Integration as inverse process of differentiation. Integration of variety of functions by Substitution, by parts, by partial fractions. Simple integrals of the type: Definite integrals as a Limit of a sum. Fundamental Theorem of calculus. Basic properties of definite integrals Evaluation of definite integrals. Application of integrals: Application in finding the area under simple curves, especially lines. Areas of circles, parabolas and ellipses (in standard form) Area under the curve y= Sinx, y= Cosx, area between the above two curves. Differential Equations: Definition, order and degree of a differential equation. General and particular solutions of a differential equation. Formation of a differential equation whose general solution is given. Solution of differentiation equation by method of separation of variables. Solution of Homogeneous differential equation of first order and first degree. UNIT 8: STRAIGHT LINES AND CONIC SECTIONS Distance between two points, section, slope of a line, angle between two lines, various forms of equations of lines, point-slope form, intercept form, two point form, and normal form. General equation of a line, distance of a point from a line. Conic Section: Sections of a cone, circles, parabola, ellipse, hyperbola, a point, a straight line and a pair of intersecting lines as a degenerated case of conic section. Standard equation of a circle, parabola, ellipse, and hyperbola and their simple properties. UNIT 9: STATISTICS AND PROBABILITY STATISTICS Measure of dispersion, mean, deviation, variance and standard deviation of ungrouped/ grouped data. Analysis of frequency distribution with equal means but different variances. PROBABILITY : Random Experiment: outcome, sample spaces. Events: Mutually exclusive and exhaustive events. Axiomatic (set theoretic) probability, probability of an event, probability of ―Not‖ and ―Or‖ events. Multiplication theorem on probability, conditional probability, independent events, total probability, Baye‘s theorem, random variable and its probability, distribution, mean and variance of a random variable. Repeated independent (Bernouli) trials and Binomial distribution. UNIT 10: VECTORS AND THREE DIMENSIONAL GEOMETRY Vectors and scalars, magnitude and direction of a vector Direction Cosines and ratios of a vector. Types of vector, equal, zero, unit, parallel and collinear vectors. Position vector of a point , negative of a vector, components of a vector, addition of vectors, Scalar multiplication, position vector of a point dividing a line segment in a given ratio. Scalar (dot) product of vectors, projection of a vector on a line. Vector (cross) product of vectors, Scalar triple product. Coordinate axes and Coordinate planes in three dimensions of a point, distance between two points and sectional formula. STRAIGHT LINES AND SPACE Direction cosines and direction ratios of a line joining two points. Cartesian and vector equation of a line ( in various forms), coplanar and skew-lines, shortest distance between two lines. PLANES Cartesian and vector equation of a plane( in various forms). Distance of a point from a plane. Angle between: i. Two lines ii. Two planes. iii. A line and a plane
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JKCET Exam Pattern:

• JKCET mode of exam: Offline mode with questions in English only.
• Questions will be asked from the subjects namely Physics, Chemistry and Mathematics.
• JKCET Question paper:  180 questions in 3 hours
• Each question carries 1 mark and 0.25 mark is deducted for every incorrect answer.
 Name of Section Number of questions Maximum Marks Duration of Exam Marking Scheme Physics 60 60 3 Hours Correct Answer: +1 Mark Incorrect Answer: -0.25 mark Chemistry 60 60 Mathematics 60 60

Marking Scheme:

For Physics:

 TOPICS (MARKS) PHYSICAL WORLD AND MEASUREMENT 2 KINEMATICS 3 LAWS OF MOTION 2 WORK, ENERGY AND POWER 2 MOTION OF SYSTEM OF PARTICLES AND RIGID BODY 2 GRAVITATION 2 PROPERTIES OF BULK MATTER 2 THERMODYNAMICS 2 BEHAVIOUR OF PERFECT GAS AND KINETIC THEORY 2 COMMUNICATION SYSTEM 2 OSCILLATIONS AND WAVES 4 ELECTROSTATICS 4 CURRENT ELECTRICITY 4 MAGNETIC EFFECTS OF CURRENT AND MAGNETISM 5 ELECTROMAGNETIC INDUCTION AND ALT. CURRENTS 4 ELECTROMAGNETIC WAVES 2 OPTICS 7 DUAL NATURE OF MATTER AND RADIATION 2 ATOMS AND NUCLEI 3 ELECTRONIC DEVICES 4

For Chemistry:

 TOPICS (MARKS) CHEMICAL ARITHMETIC AND ATOMIC STRUCTURE 3 CHEMICAL EQUILIBRIUM 4 CHEMICAL KINETICS 2 SOLUTIONS 2 CHEMICAL THERMODYNAMICS 4 REDOX REACTIONS AND ELECTROCHEMISTRY 3 SOLID STATE AND STATES OF MATTER 4 SURFACE CHEMISTRY 2 PERIODIC PROPERTIES 2 POLYMERS 3 CHEMICAL BONDING AND MOLECULAR STRUCTURE 4 CHEMISTRY OF REPRESENTATIVE ELEMENTS 4 TRANSITION ELEMENTS INCLUDING LANTHANOIDES 2 CO-ORDINATION CHEMISTRY 4 NOMENCLATURE AND BASIC CONCEPTS IN ORGANIC CHEMISTRY 3 HYDROCARBONS 3 ORGANIC CHEMISTRY BASED ON FUNCTIONAL GROUP -1 2 ORGANIC CHEMISTRY BASED ON FUNCTIONAL GROUP-2 3 ORGANIC CHEMISTRY BASED ON FUNCTIONAL GROUP-3 3 MOLECULES OF LIFE 3

For Mathematics:

 Topics Marks SETS, RELATIONS AND FUNCTIONS 6 COMPLEX NUMBER, LINEAR EQUATION, LINEAR PROGRAMMING 6 INTEGRATION AND DIFFERENTIAL EQUATION 7 STRAIGHT LINES AND CONIC SECTIONS 5 STATISTICS AND PROBABILITY 6 SEQUENCE AND SERIES, PERMUTATION AND COMBINATION, BINOMIAL THEOREM 6 TRIGNOMETRIC AND INVERSE TRIGNOMETRIC FUNCTIONS 6 MATRICES AND DETERMINANTS 4 LIMIT, CONTINUITY AND DIFFERENTIATION 8 VECTORS AND 3-D GEOMETRY 6

You May Read This: How To Study At The Last Minute For Exams

•  Firstly you must visit the official website of the authority that is jkbopee.gov.in
• A PDF file will get opened and you need to scroll down on that, and you will be able to get the JKCET Syllabus.
• Check the entire syllabus carefully and download JKCET Syllabus, finally you can take the print out of the JKCET Syllabus for the future usage.
• Hit on the below given link to get JKCET Syllabus.

JKCET Syllabus>>>Get PDF

How to Prepare for JKCET:

• Candidates must know about the complete details regarding their exam such as date, pattern, topics etc.
• Set a fix time for study from your daily routine.
• Divide chapters according to the weightage and manage time for it
• Make correct order for the chapters to be studies, so that u can have revision time also.
• Make sure that all your concepts should be clear before attempting questions for practice.
• After completing all the topics, revise them again and practice questions and so as to appear for exam without any trouble.

Instructions For JKBOPEE Examination:

• Contenders appearing in the examination should meet the eligibility norms.
• Before going for exam, aspirants are required to go through the exam information carefully.
• It is responsibility of the candidate to show sincere and honest attitude while appearing for examination. Any unfair practice or fraudulent practice will not be acceptable.
• In case, if any aspirant breaks the barriers and violate the rules, strict action will be taken against him/her for such acts.
• There can be criminal proceeding for acts of guilty, or conducting body can cancel the examination as given authority.